Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle

Details Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle

2006-06-14

arxiv.org/abs/math/0606334v1

Mathematics

Classical Analysis and ODEs

17 pages

Scientific paper

Rakhmanov's theorem for orthogonal polynomials on the unit circle gives a
sufficient condition on the orthogonality measure for orthogonal polynomials on
the unit circle, in order that the reflection coefficients (the recurrence
coefficients in the Szego recurrence relation) converge to zero. In this paper
we give the analog for orthogonal matrix polynomials on the unit circle.

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